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Sample Questions

What questions are used in the NAEP mathematics assessment?

Explore sample questions from the mathematics assessment, and see how the NAEP mathematics questions relate to student performance.

 

Test Yourself in Mathematics

Select one of the grade tabs below to try out 10 questions from the 2009 NAEP mathematics assessment. After answering all the questions, compare your score with that of students nationally.

Grade 4
Grade 8
Grade 12


 Grade 8 Sample Questions

Question 1 of 10:

Marty has 6 red pencils, 4 green pencils, and 5 blue pencils. If he picks out one pencil without looking, what is the probability that the pencil he picks will be green?

  1. 1 out of 3
  2. 1 out of 4
  3. 1 out of 15
  4. 4 out of 15
Next Button, click to proceed.
The correct answer is: D
Next Button, click to proceed.

Question 2 of 10:

The school carnival committee sold a total of 200 tickets for the grand prize drawing. Sue bought enough tickets so that she had a 20 percent chance of winning the grand prize. How many tickets did Sue buy?

  1.      20
  2.      40
  3.    160
  4.    400
  5. 1,000
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The correct answer is: B
Next Button, click to proceed.

Question 3 of 10:

graph showing x and y coordinates as a quadrant. Two diagonal lines intersect. Line 1 is labeled x=y. Line 2 is labeled x+y=4.

Which point is the solution to both equations shown on the graph above?

  1. (0, 0)
  2. (0, 4)
  3. (1, 1)
  4. (2, 2)
  5. (4, 0)
Next Button, click to proceed.
The correct answer is: D
Next Button, click to proceed.

Question 4 of 10:

Megan drew a rectangle that has an area of 24 square centimeters. Which of the following could be the dimensions of her rectangle?

  1.  2 centimeters by 12 centimeters
  2.  3 centimeters by 9 centimeters
  3.  4 centimeters by 20 centimeters
  4.  6 centimeters by 6 centimeters
  5. 12 centimeters by 12 centimeters
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The correct answer is: A
Next Button, click to proceed.

Question 5 of 10:

For a school report, Luke contacted a car dealership to collect data on recent sales. He asked, "What color do buyers choose most often for their car?" White was the response. What statistical measure does the response "white" represent?

  1.  Mean
  2.  Median
  3.  Mode
  4.  Range
  5.  Interquartile range
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The correct answer is: C
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Question 6 of 10:

Coordinate grid with a point labeled N at (0,1) and a point labeled P at (2,3).

For the figure above, which of the following points would be on the line that passes through points N and P?

  1. (–2, 0)
  2. (0, 0)
  3. (1, 1)
  4. (4, 5)
  5. (5, 4)
Next Button, click to proceed.
The correct answer is: D
Next Button, click to proceed.

Question 7 of 10:

The length of a rectangle is 3 feet less than twice the width, w (in feet). What is the length of the rectangle in terms of w ?

  1. 3 – 2w
  2. 2(w + 3)
  3. 2(w – 3)
  4. 2w + 3
  5. 2w – 3
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The correct answer is: E
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Question 8 of 10:

four by four square grid

Identical puzzle pieces have been put together to form the large square shown above. Which of the following could be the shape of each puzzle piece?

  1. column of three squares with one square adjacent to the bottom square in the column

    2.  

  2. four squares in the following order: square 1, adjacent right square 2, adjacent above square 3, adjacent above square 4

    3.  

  3. three squares in the following order: square 1, adjacent below square 2, adjacent right square 3

    4.  

  4. five squares in the following order: square 1, adjacent right square 2, adjacent right square 3, adjacent above square 4, adjacent right square 5

    5.  

  5. five squares in the following order: square 1, adjacent above square 2, adjacent right square 3, adjacent right square 4, adjacent right square 5
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The correct answer is: A
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Question 9 of 10:

right triangle, labeled A, B, and C. A to B is the hypotenuse. A to C is 12. C to B is 5.

In the right triangle above, what is the length of AB ?

  1.   8.5
  2. 12
  3. 13
  4. 17
  5. 30
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The correct answer is: C
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Question 10 of 10:

Which of the following is always an odd integer?

  1. The product of two odd integers
  2. The product of two consecutive integers
  3. The sum of three even integers
  4. The sum of two odd integers
  5. The sum of three consecutive integers
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The correct answer is: A
Done

The chart below shows the percentage of questions that you answered correctly, as well as how students at each of the achievement levels performed on this set of questions. For instance, eighth-grade students at Proficient had a percentage correct of 77% on average.

[Overall|58],[Below Basic|33],[Basic|56],[Proficient|77],[Advanced|91] Eighth-grade percentage correct on selected mathematics questions: 2009

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NOTE: Eligible and not eligible refers to eligibility for the National School Lunch Program.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.

Comparison of your results with district results

SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.

View this set of questions in the NAEP Questions Tool to see student performance by participating states.